Ever since the weekly drop limits went into place, I only get a few items a week. What is the exact time each week the drop count resets?
According to the official TF2 wiki:
The system resets each player's playtime cap every Thursday at approximately 00:00 Greenwich Mean Time (GMT).
This is approximate - there may not be a single, precise time for everyone. Not everything published in the official tf2 wiki is in itself official, though.